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Finding the Fourth Proportional to 855.90, 1,282.84 and 328.39

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Solution

The fourth proportional to 855.90, 1,282.84 and 328.39 is: 492.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.90 : 1,282.84 = 328.39 : x
  2. Step 2: Convert to fraction form
    855.90/1,282.84 = 328.39/x
  3. Step 3: Cross multiply
    855.90x = 1,282.84 × 328.39
  4. Step 4: Simplify right side
    855.90x = 421,267.80
  5. Step 5: Solve for x
    x = 421,267.80/855.90
  6. Step 6: Final answer
    x = 492.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.